The distinction between different types of CNNs depending on the existence of intercell feedback has proven to be very helpful in the last decade. In uncoupled CNNs, where the parameters in the feedback template A are zero except for the self-feedback a 5, the cells are isolated from each other. These networks can be analyzed in all details and are well-understood. Coupled CNNs, which have at least one non-zero off-center entry in the A template, may exhibit complex dynamical behavior which is not fully tractable analytically. For example, there is no necessary and sufficient condition on the (feedback) template elements for stability.
KeywordsLinear Region Cellular Neural Network Local Rule Local Regularity Complex Dynamical Behavior
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